Diagramming Program Values by Spatial Refinement
Year: 2026
Type: article
Abstract: Diagrams enable programmers to reason, debug, and communicate. However, constructing diagrams for programming language data is unnecessarily hard. We present a declarative DSL, Spytial , that captures the essential spatial features of data. We endow Spytial with a spatial semantics, mapping values to the 2D plane, and prove key properties. Spytial uses constraint-solving to make interactive renderings. We show how Spytial can be embedded in three very different languages: Python, Rust, and Pyret. We present a novel counterfactual debugging aid for diagramming errors, combining textual and visual output. We evaluate the language and system for expressiveness, performance, and diagnostic quality. Finally, we also show how Spytial can be used to construct values interactively and visually while preserving spatial constraints.
Institution: Brown University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7163928710
